29,123,428

2² × 19 × 23 × 16661

29,123,428 factors as 2^2 × 19 × 23 × 16661. Its 24 positive divisors give a proper-divisor sum of 26,860,892, so this integer is deficient. The Collatz stopping time is 480 steps.

Prime Factor Structure

Factorization String 2^2 × 19 × 23 × 16661

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 55,984,320

Proper Divisor Sum 26,860,892

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #29123401 ← → #29123441

Radix Representation

Decimal	29123428
Binary	1101111000110001101100100 (25 bits)
Octal	0o157061544
Hexadecimal	0x1BC6364

Divisor Catalog (24)

Collatz Trajectory (480 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

29,123,428 14,561,714 7,280,857 21,842,572 10,921,286 5,460,643 16,381,930 8,190,965 24,572,896 12,286,448 6,143,224 3,071,612 1,535,806 767,903 2,303,710 1,151,855 3,455,566 1,727,783 5,183,350 2,591,675 7,775,026 3,887,513 11,662,540 5,831,270 2,915,635 8,746,906 4,373,453 13,120,360 6,560,180 3,280,090 1,640,045 4,920,136 2,460,068 1,230,034 615,017 1,845,052 922,526 461,263 1,383,790 691,895 2,075,686 1,037,843 3,113,530 1,556,765 4,670,296 2,335,148 1,167,574 583,787 1,751,362 875,681 2,627,044 1,313,522 656,761 1,970,284 985,142 492,571 1,477,714 738,857 2,216,572 1,108,286

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